Geodesic
Motivic strict ring spectra representing semi-topological cohomology theories
Homology, homotopy, and applications, Tome 17 (2015) no. 2, pp. 107-135.

Voir la notice de l'article provenant de la source International Press of Boston

We show that Shipley’s “detection functor” for symmetric spectra generalizes to motivic symmetric spectra. As an application, we construct motivic strict ring spectra representing morphic cohomology, semi-topological $K$-theory, and semitopological cobordism for complex varieties. As a further application to semi-topological cobordism, we show that it is related to semi-topological $K$-theory via a Conner–Floyd type isomorphism and that after inverting a lift of the Friedlander–Mazur $s$-element in morphic cohomology, semi-topological cobordism becomes isomorphic to periodic complex cobordism.
DOI : 10.4310/HHA.2015.v17.n2.a7
Classification : 14F42, 14F43, 14C35, 19E15
Keywords: motivic homotopy theory, semi-stable symmetric motivic spectra, semi-topological cohomology theory 
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     author = {Jeremiah Heller},
     title = {Motivic strict ring spectra representing semi-topological cohomology theories},
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     language = {en},
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Jeremiah Heller. Motivic strict ring spectra representing semi-topological cohomology theories. Homology, homotopy, and applications, Tome 17 (2015) no. 2, pp. 107-135. doi : 10.4310/HHA.2015.v17.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n2.a7/

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